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1130130001000 = 23537111323191257
BaseRepresentation
bin10000011100100000111…
…111110100110001101000
311000001001200222101221201
4100130200333310301220
5122004001240013000
62223101412013544
7144435450340030
oct20344077646150
94001050871851
101130130001000
113a6315a17770
1216303a3012b4
1382756089430
143c9accb28c0
151e5e5c0896a
hex10720ff4c68

1130130001000 has 1024 divisors, whose sum is σ = 3738929725440. Its totient is φ = 308183040000.

The previous prime is 1130130000991. The next prime is 1130130001019. The reversal of 1130130001000 is 1000310311.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4397392872 + ... + 4397393128.

It is an arithmetic number, because the mean of its divisors is an integer number (3651298560).

Almost surely, 21130130001000 is an apocalyptic number.

1130130001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1130130001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1869464862720).

1130130001000 is an abundant number, since it is smaller than the sum of its proper divisors (2608799724440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1130130001000 is a wasteful number, since it uses less digits than its factorization.

1130130001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 10.

Adding to 1130130001000 its reverse (1000310311), we get a palindrome (1131130311311).

The spelling of 1130130001000 in words is "one trillion, one hundred thirty billion, one hundred thirty million, one thousand".